The calculation is not that precise, rough figures only.
The earth fault loop impedance is (0.1+0.1+0.1+0.1 Ω) = 0.4Ω, the 500Ω from any additional earth paths is ignored.
Ipf = V/R = V/Zs = 230/0.4 = 575A
If you were to calculate the parallel resistance of the extraneous part and the earth cable back to the transformer this would be ((500*0.1)/(500+0.1)=0.09998Ω which is effectively 0.1Ω to 1 dp.
Therefore in a fault 575A should flow through the circuit.
Because the extraneous Conductive part is by definition connected to earth with a resistance of less than 22,000Ω (assumed to be 500Ω here) there is a potential split of current at the MET. For a 230V supply this would then be 230/500=0.46A, because the actual voltage to earth at that point would be only 57.5V the current would actually be 0.11A but as a worst case look at 0.46A. The bonding conductor at 0.05Ω with a current of 0.46A would drop 0.02V, an insignificant amount compared to 57.5V.
The fall in current on the earth path would be 0.46A and so the earth path would take 574.54A, which is insignificantly different from 575A.
The diagram is there to show that any volt drop on the bonding conductor can be ignored for the purpose of calculating touch voltage as it would err on the side of caution. The comparative resistances are orders of magnitude different and so the worst case values are used ignoring minor variances from elsewhere. Voltages and resistances can change over time and so this is a text book calculation using specific figures.
Thanks for that..I think I need to o back to TEC and refresh my Electrical Theory as I am struggling with the calculations in the second and third diagram ! lol I need to sit down with a pencil, paper and calculator and work through the maths myself....
I have just done a quick calculation on the fly, I am not doing a full mathematical treatment so please check the maths and take account of any errors made, however the background information should allow you to understand the theory enough to make any needed corrections.